Answer:
Value of x: 72, first option
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees. In order to find x, one of the angles, add the other two angle measures subtracted from the sum of angles (180) as such:
180 - (51 + 57) =
180 - 108 =
x - 72 degrees
Answer: hello your question to the given scenerio is missing below is the missing question
question: Does this setting represent a Binomial distribution ?
answer : Yes the setting represents a Binomial distribution
Step-by-step explanation:
The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present which are
- The random variable ( number of times a crinkled paper is picked ) is represented as Y
- Each sample is drawn independently and with replacement
- there are only two outcomes ( success or failure )
- Number of trials is given as 10
- probability of success = 25 / 100 = 0.25
Answer: 0.7258
Step-by-step explanation:
Given : A telemarketer makes a sale on 25% of his calls.
i.e. p=0.25
He makes 300 calls in a night, i.e. n=300
Let x be a random variable that represents the number of calls make in night.
To convert the given binomial distribution to normal distribution we have :-


Now, using
, the z-value corresponds to x= 70 :-

The z-value corresponds to x= 90 :-

By using the standard normal distribution table for z, the probability that he will make more than 70 sales but less than 90 sales:-

Hence, the probability that he will make more than 70 sales but less than 90 sales= 0.7258
Answer:
f(x) = 2x
Step-by-step explanation:
Remark
What I'm about to do is probably not the best way to do this question, but it is right. The plan is to take out a common factor on the right of f(x - 2) and then derive f(x) from that.
Solution
- f(x - 2) = 2x - 4 Take out a common factor on the right of f(x -2)
- f(x - 2) = 2(x - 2) Now what that means is that in the original equation, wherever you saw an x, you put in x - 2. So the original equation must have been
Check
- f(x) = 2x To check this put x - 2 back in
- f(x - 2) = 2(x -2) Remove the brackets.
- f(x - 2) = 2x - 4 which is what it should be.